An Integrated Bipolar pqr-Spherical Fuzzy Decision Framework for the Selection of AI-driven Security System
Published 2026-07-11
Keywords
- Security system,
- AI-Analytics,
- Bipolar pqr-spherical fuzzy sets,
- ALWAS,
- Smart city
Copyright (c) 2026 Kannusamy Aarthi, Samayan Narayanamoorthy, Krishnan Suvitha (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Abstract
With rising urbanization and urban population growth, enhancing public safety has become a significant component of sustainable smart city development. Therefore, it is essential to select a reliable, adaptive, and effective security system to ensure a safe urban environment. The implementation of artificial intelligence in smart cities offers a promising solution to address these challenges. However, selecting a security system that enhances public safety while ensuring privacy and sustainability is often a challenging task, as its implementation requires a meticulous evaluation of all relevant criteria. Under these circumstances, the need for multi-criteria decision-making arises. In this regard, this study employs an integrated decision-making framework that integrates the Symmetry Point of Criterion (SPC) approach with the Aczel–Alsina Weighted Assessment (ALWAS) technique under a bipolar pqr-spherical fuzzy environment to select the optimal AI-driven security system. The study considers four security systems as potential alternatives, evaluated based on ten criteria categorized into technical, economic and environmental, and social dimensions. The assessment data are expressed using bipolar pqr-spherical fuzzy sets, while the weights of the criteria are determined using the SPC approach, and the alternatives are ranked using the ALWAS technique. Furthermore, the consistency and stability of the results are validated through comparative analysis and sensitivity analysis, respectively.
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References
- Dharany, K., & Trinita, M. (2023). Enhancing urban safety: The role of object detection in smart city surveillance systems. ITEJ (Information Technology Engineering Journals), 8(2), 63–72. https://doi.org/10.24235/itej.v8i2.122
- Gohari, A., Ahmad, A. B., Rahim, R. B. A., Supa'at, A. S. M., Abd Razak, S., & Gismalla, M. S. M. (2022). Involvement of surveillance drones in smart cities: A systematic review. IEEE Access, 10, 56611–56628. https://doi.org/10.1109/ACCESS.2022.3177904
- Tutak, M., & Brodny, J. (2023). A smart city is a safe city: Analysis and evaluation of the state of crime and safety in Polish cities. Smart Cities, 6(6), 3359–3392. https://doi.org/10.3390/smartcities6060149
- Wolniak, R., & Stecuła, K. (2024). Artificial intelligence in smart cities—Applications, barriers, and future directions: A review. Smart Cities, 7(3), 1346–1389. https://doi.org/10.3390/smartcities7030057
- Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
- Atanassov, K. T. (1999). Intuitionistic fuzzy sets. In Intuitionistic Fuzzy Sets: Theory and Applications (pp. 1–137). Springer. https://doi.org/10.1007/978-3-7908-1870-3_1
- Yager, R. R. (2013). Pythagorean fuzzy subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) (pp. 57–61). IEEE. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608375
- Senapati, T., & Yager, R. R. (2020). Fermatean fuzzy sets. Journal of Ambient Intelligence and Humanized Computing, 11(2), 663–674. https://doi.org/10.1007/s12652-019-01377-0
- Yager, R. R. (2016). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems, 25(5), 1222–1230. https://doi.org/10.1109/TFUZZ.2016.2604005
- Seikh, M. R., & Mandal, U. (2022). Multiple attribute group decision making based on quasirung orthopair fuzzy sets: Application to electric vehicle charging station site selection problem. Engineering Applications of Artificial Intelligence, 115, 105299. https://doi.org/10.1016/j.engappai.2022.105299
- Cuong, B. C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409. https://doi.org/10.15625/1813-9663/30/4/5032
- Kutlu Gündoğdu, F., & Kahraman, C. (2019). Spherical fuzzy sets and spherical fuzzy TOPSIS method. Journal of Intelligent & Fuzzy Systems, 36(1), 337–352. https://doi.org/10.3233/JIFS-181401
- Mahmood, T., Ullah, K., Khan, Q., & Jan, N. (2019). An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets. Neural Computing and Applications, 31(11), 7041–7053. https://doi.org/10.1007/s00521-018-3521-2
- Ali, J., & Naeem, M. (2023). r, s, t-spherical fuzzy VIKOR method and its application in multiple criteria group decision making. IEEE Access, 11, 46454–46475. https://doi.org/10.1109/ACCESS.2023.3271141
- Rahim, M., Ahmad, S., Bajri, S. A., Alharbi, R., & Khalifa, H. A. E.-W. (2024). Confidence levels-based p, q, r-spherical fuzzy aggregation operators and their application in selection of solar panels. IEEE Access, 12, 57863–57878. https://doi.org/10.1109/ACCESS.2024.3389296
- Kang, L., Khan, S., Rahim, M., Shah, K., & Abdeljawad, T. (2024). Development p, q, r-spherical fuzzy Einstein aggregation operators: Application in decision-making in logo design. IEEE Access, 12, 68393–68409. https://doi.org/10.1109/ACCESS.2024.3394694
- Karaaslan, F., & Karamaz, F. (2024). Interval-valued (p, q, r)-spherical fuzzy sets and their applications in MCGDM and MCDM based on TOPSIS method and aggregation operators. Expert Systems with Applications, 255, 124575. https://doi.org/10.1016/j.eswa.2024.124575
- Rahim, M., Bajri, S. A., Khan, S., Alqahtani, H., & Khalifa, H. A. E.-W. (2025). Innovative multi-criteria group decision making with interval-valued p, q, r-spherical fuzzy sets: A case study on optimal solar energy investment location. International Journal of Fuzzy Systems, 27(8), 2467–2494. https://doi.org/10.1007/s40815-024-01905-x
- Ezhilmaran, D., & Sankar, K. (2015). Morphism of bipolar intuitionistic fuzzy graphs. Journal of Discrete Mathematical Sciences and Cryptography, 18(5), 605–621. https://doi.org/10.1080/09720529.2015.1013673
- Mandal, W. A. (2023). Bipolar Pythagorean fuzzy sets and their application in multi-attribute decision making problems. Annals of Data Science, 10(3), 555–587. https://doi.org/10.1007/s40745-020-00315-8
- Li, J., Yüksel, S., Dinçer, H., Mikhaylov, A., & Barykin, S. E. (2022). Bipolar q-ROF hybrid decision making model with golden cut for analyzing the levelized cost of renewable energy alternatives. IEEE Access, 10, 42507–42517. https://doi.org/10.1109/ACCESS.2022.3168315
- Ibrahim, H. Z. (2023). Multi-attribute group decision-making based on bipolar n, m-rung orthopair fuzzy sets. Granular Computing, 8(6), 1819–1836. https://doi.org/10.1007/s41066-023-00405-x
- Princy, R., & Mohana, K. (2019). Spherical bipolar fuzzy sets and its application in multi criteria decision making problem. Journal of New Theory, 32, 58–70.
- Wang, H., Saad, M., Karamti, H., Garg, H., & Rafiq, A. (2023). An approach toward pattern recognition and decision-making using the concept of bipolar T-spherical fuzzy sets. International Journal of Fuzzy Systems, 25(7), 2649–2664. https://doi.org/10.1007/s40815-023-01545-7
- Ameen, Z. A., Salih, H. F. M., Alajlan, A. I., Mohammed, R. A., & Asaad, B. A. (2025). Enhanced MCDM based on the TOPSIS technique and aggregation operators under the bipolar pqr-spherical fuzzy environment: An application in firm supplier selection. Applied Sciences, 15(7), Article 3597. https://doi.org/10.3390/app15073597
- Petrović, G., Mihajlović, J., Ćojbašić, Ž., Madić, M., & Marinković, D. (2019). Comparison of three fuzzy MCDM methods for solving the supplier selection problem. Facta Universitatis, Series: Mechanical Engineering, 17(3), 455–469. https://doi.org/10.22190/FUME190420039P
- Radovanović, M., Božanić, D., Tešić, D., Puška, A., Hezam, I. M., & Jana, C. (2023). Application of hybrid DIBR–FUCOM–LMAW–Bonferroni–Grey–EDAS model in multicriteria decision-making. Facta Universitatis, Series: Mechanical Engineering, 21(3), 387–404. https://doi.org/10.22190/FUME230824036R
- Gligorić, Z., Gligorić, M., Miljanović, I., Lutovac, S., & Milutinović, A. (2023). Assessing criteria weights by the symmetry point of criterion (novel SPC method): Application in the efficiency evaluation of the mineral deposit multi-criteria partitioning algorithm. Computer Modeling in Engineering & Sciences, 136(1), 955. https://doi.org/10.32604/cmes.2023.025021
- Chatterjee, S., Das, P. P., & Chakraborty, S. (2025). A novel integrated multi-criteria decision making approach for solving delivery drone selection problem. OPSEARCH, 62(1), 119–148. https://doi.org/10.1007/s12597-024-00794-w
- Alrasheedi, A. F., Rani, P., Mishra, A. R., Alshamrani, A. M., & Cavallaro, F. (2024). Fermatean fuzzy distance and Sugeno--Weber operators-based SPC-MARCOS approach for sustainable supplier evaluation in the healthcare supply chain. Scientific Reports, 14(1), Article 27373. https://doi.org/10.1038/s41598-024-78284-8
- Tran Van Dua. (2023). Combination of symmetry point of criterion, compromise ranking of alternatives from distance to ideal solution and collaborative unbiased rank list integration methods for woodworking machinery selection for small business in Vietnam. EUREKA: Physics and Engineering, 2, 83–96. https://doi.org/10.21303/2461-4262.2023.002763
- Durdu, D. (2025). Evaluating financial performance with SPC-LOPCOW-MARCOS hybrid methodology: A case study for firms listed in BIST sustainability index. Knowledge and Decision Systems with Applications, 1, 92–111. https://doi.org/10.59543/kadsa.v1i.13879
- Pamucar, D., Ecer, F., Gligorić, Z., Gligorić, M., & Deveci, M. (2023). A novel WENSLO and ALWAS multicriteria methodology and its application to green growth performance evaluation. IEEE Transactions on Engineering Management, 71, 9510–9525. https://doi.org/10.1109/TEM.2023.3321697
- Pamucar, D., & Ecer, F. (2020). Prioritizing the weights of the evaluation criteria under fuzziness: The fuzzy full consistency method (FUCOM-F). Facta Universitatis, Series: Mechanical Engineering, 18(3), 419–437. https://doi.org/10.22190/FUME200602034P
- Gokasar, I., Pamucar, D., Deveci, M., Gupta, B. B., Martinez, L., & Castillo, O. (2023). Metaverse integration alternatives of connected autonomous vehicles with self-powered sensors using fuzzy decision making model. Information Sciences, 642, Article 119192. https://doi.org/10.1016/j.ins.2023.119192
- Unal, Y. (2025). Ranking performance in statistics and operational research: A fuzzy MCDM and cluster-based QS 2024 framework. Social Sciences & Humanities Open, 12, Article 102023. https://doi.org/10.1016/j.ssaho.2025.102023
- Gürol, P., Yalçin, G. C., Kara, K., Simic, V., & Pamucar, D. (2026). Instilling eco-friendly practices within the maritime industry: An intuitionistic fuzzy decision-analytic model for terminal operating system selection in green ports. An International Journal of Optimization and Control: Theories & Applications, 16(2), 531–554. https://doi.org/10.36922/IJOCTA025390162
- Demir, G. (2025). Fuzzy multi-criteria decision-making based security management: Risk assessment and countermeasure selection in smart cities. Knowledge and Decision Systems with Applications, 1, 70–91. https://doi.org/10.59543/kadsa.v1i.13701
- Bouramdane, A.-A. (2024). Enhancing disaster management in smart cities through MCDM-AHP analysis amid 21st century challenges. Information System and Smart City, 3(1), 1–19. https://doi.org/10.59400/issc.v3i1.189
- Fayyaz, M., Fusco, G., Colombaroni, C., González-González, E., & Nogués, S. (2024). Optimizing smart city street design with interval-fuzzy multi-criteria decision making and game theory for autonomous vehicles and cyclists. Smart Cities, 7(6), 3936–3961. https://doi.org/10.3390/smartcities7060152
- Ashraf, S., Shahid, T., Kim, J., Hameed, M. S., Hezam, I. M., & Jana, C. (2024). AI-powered decision making for road safety optimization under probabilistic linguistic Sugeno-Weber aggregation information. Heliyon, 10(19), Article e38594. https://doi.org/10.1016/j.heliyon.2024.e38594
